feat(telemetry): add view_mode and is_app_mode to run_button_click event (#9881)

## Summary

Adds `view_mode` and `is_app_mode` properties to the
`app:run_button_click` telemetry event so analytics can segment run
button clicks by the user's current view context.

## Changes

- **`types.ts`**: Added `view_mode?: string` and `is_app_mode?: boolean`
to `RunButtonProperties`
- **`PostHogTelemetryProvider.ts`**: Computes `view_mode` and
`is_app_mode` from `useAppMode()` in `trackRunButton()`
- **`MixpanelTelemetryProvider.ts`**: Same as PostHog (providers are
mirrors)

## New Properties

| Property | Type | Description | Example Values |
|----------|------|-------------|----------------|
| `view_mode` | `string` | Granular AppMode value | `'graph'`, `'app'`,
`'builder:inputs'`, `'builder:outputs'`, `'builder:arrange'` |
| `is_app_mode` | `boolean` | Simplified flag for app mode vs non-app
mode | `true` when `mode === 'app' \|\| mode === 'builder:arrange'` |

## Design Decisions

- **Both granular and simplified**: `view_mode` gives exact mode for
detailed analysis; `is_app_mode` gives a quick boolean for simple
segmentation
- **Computed in providers**: View mode is read from `useAppMode()` at
tracking time, same pattern as `getExecutionContext()` — no changes
needed at call sites
- **`trigger_source` unchanged**: `keybindingService.ts` already reports
`trigger_source: 'keybinding'` regardless of view mode, satisfying the
requirement that keybinding invocations are correctly identified even in
app mode

## Testing

- Typecheck passes (no new errors)
- Format and lint pass (no new errors)
- Manual verification: all pre-existing errors are in unrelated files
(`draftCacheV2.property.test.ts`, `workflowDraftStoreV2.fsm.test.ts`)

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9881-feat-telemetry-add-view_mode-and-is_app_mode-to-run_button_click-event-3226d73d36508101b3a8c7ff27706f81)
by [Unito](https://www.unito.io)

src/platform/telemetry/providers/cloud/MixpanelTelemetryProvider.ts

@@ -1,6 +1,7 @@
 import type { OverridedMixpanel } from 'mixpanel-browser'
 import { watch } from 'vue'
 
+import { useAppMode } from '@/composables/useAppMode'
 import { useCurrentUser } from '@/composables/auth/useCurrentUser'
 import {
   checkForCompletedTopup as checkTopupUtil,
@@ -278,6 +279,7 @@ export class MixpanelTelemetryProvider implements TelemetryProvider {
     trigger_source?: ExecutionTriggerSource
   }): void {
     const executionContext = getExecutionContext()
+    const { mode, isAppMode } = useAppMode()
 
     const runButtonProperties: RunButtonProperties = {
       subscribe_to_run: options?.subscribe_to_run || false,
@@ -290,7 +292,9 @@ export class MixpanelTelemetryProvider implements TelemetryProvider {
       api_node_names: executionContext.api_node_names,
       has_toolkit_nodes: executionContext.has_toolkit_nodes,
       toolkit_node_names: executionContext.toolkit_node_names,
-      trigger_source: options?.trigger_source
+      trigger_source: options?.trigger_source,
+      view_mode: mode.value,
+      is_app_mode: isAppMode.value
     }
 
     this.lastTriggerSource = options?.trigger_source

src/platform/telemetry/providers/cloud/PostHogTelemetryProvider.ts

@@ -1,6 +1,7 @@
 import type { PostHog } from 'posthog-js'
 import { watch } from 'vue'
 
+import { useAppMode } from '@/composables/useAppMode'
 import { useCurrentUser } from '@/composables/auth/useCurrentUser'
 import { useSubscription } from '@/platform/cloud/subscription/composables/useSubscription'
 import { remoteConfig } from '@/platform/remoteConfig/remoteConfig'
@@ -277,6 +278,7 @@ export class PostHogTelemetryProvider implements TelemetryProvider {
     trigger_source?: ExecutionTriggerSource
   }): void {
     const executionContext = getExecutionContext()
+    const { mode, isAppMode } = useAppMode()
 
     const runButtonProperties: RunButtonProperties = {
       subscribe_to_run: options?.subscribe_to_run || false,
@@ -289,7 +291,9 @@ export class PostHogTelemetryProvider implements TelemetryProvider {
       api_node_names: executionContext.api_node_names,
       has_toolkit_nodes: executionContext.has_toolkit_nodes,
       toolkit_node_names: executionContext.toolkit_node_names,
-      trigger_source: options?.trigger_source
+      trigger_source: options?.trigger_source,
+      view_mode: mode.value,
+      is_app_mode: isAppMode.value
     }
 
     this.lastTriggerSource = options?.trigger_source

src/platform/telemetry/types.ts

@@ -63,6 +63,8 @@ export interface RunButtonProperties {
   has_toolkit_nodes: boolean
   toolkit_node_names: string[]
   trigger_source?: ExecutionTriggerSource
+  view_mode?: string
+  is_app_mode?: boolean
 }
 
 /**